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Mixture and Alligation


1. A bucket contains 60 litres of pure wine, in which some quantity is drawn off and replaced with water. This process is repeated for two times. Find the quantity drawn off each time if the final ratio of wine to water is 81 : 19?

4 litres

6 litres

3 litres

5 litres


2. A dairy man pays Rs 64 per litre of milk. He adds water and sells the mixture at Rs 80 per litre thereby making a profit of 37.5%. Find the ratio of the water to milk in the sold product?

1 : 15

1 : 20

1 : 12

1 : 10


3. One type of liquid contains 25% of acid, the other contains 20% of acid. A can is filled with 6 parts of the first liquid and 4 parts of the second liquid. Find the percentage of acid in the new mixture?

23%

25%

27%

29%


4. A grain merchant has 500 kg of rice, a part of which he sells at 8% profit and the rest at 18%. He gains 14% on the whole. The quantity sold at 18% profit is:

200 kg

300 kg

150 kg

180 kg


5. 150 gm of sugar solution has 30% sugar in it. Then the quantity of sugar that should be added to the solution to make the quantity of the sugar 70% in the solution, is?

250 gms

240 gms

200 gms

300 gms


6. A 60 litres vessel full of orange juice contains 40% orange pulp. A part of juice is replaced by another juice containing 19% orange pulp and now the percentage of orange pulp is found to be 26%. What quantity of juice is replaced?

26 litres

40 litres

36 litres

24 litres


7. Two bottles contains mixture of alcohol and water. First bottle contains 64% alcohol and second bottle contains 26% water. In what ratio these two mixtures are mixed so that new mixture contains 68% alcohol?

3:2

2:1

1:2

2:3


8. A trader mixes 36 kg of grain at Rs.26 per kg with 24 kg of grain of other variety at Rs.36 per kg and sells the mixture at Rs.33 per kg. His profit percent is:

(6) 2/3%

8%

10%

No profit, no loss


9. A trader has 1000 Kg of wheat, part of which he sells at 5% profit and the rest at 20% profit. He gains 15% on the whole. Find how much wheat is sold at 5% profit?

600 kg

500 kg

666.66 kg

333.33 kg


10. 250 liters of a mixture of milk and water contains in the ratio 3:2. How much water should now be added so that the ratio of milk and water becomes 3:4?

60 liters

75 liters

80 liters

100 liters